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103027242825 = 32521335222989
BaseRepresentation
bin101111111110011100…
…1101111011101001001
3100211221010221012201100
41133330321233131021
53141444433232300
6115155143212013
710305053054223
oct1377471573511
9324833835640
10103027242825
113a76a213481
1217b73747009
13993ba41ca0
144db5119413
152a2edb0700
hex17fce6f749

103027242825 has 36 divisors (see below), whose sum is σ = 198728109580. Its totient is φ = 50721102720.

The previous prime is 103027242767. The next prime is 103027242841. The reversal of 103027242825 is 528242720301.

103027242825 is a `hidden beast` number, since 1 + 0 + 302 + 72 + 4 + 282 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 94070601 + 102933172224 = 9699^2 + 320832^2 .

It is not a de Polignac number, because 103027242825 - 212 = 103027238729 is a prime.

It is a super-2 number, since 2×1030272428252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103027242825.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17608570 + ... + 17614419.

Almost surely, 2103027242825 is an apocalyptic number.

103027242825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103027242825 is a deficient number, since it is larger than the sum of its proper divisors (95700866755).

103027242825 is a wasteful number, since it uses less digits than its factorization.

103027242825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35223018 (or 35223010 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 103027242825 in words is "one hundred three billion, twenty-seven million, two hundred forty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 35222989 105668967 176114945 317006901 457898857 528344835 880574725 1373696571 1585034505 2289494285 2641724175 4121089713 6868482855 7925172525 11447471425 20605448565 34342414275 103027242825